Question: Identify any extrema of the function by recognizing its given form or its form after completing the square. Verify your results by using the partial derivatives to locate any critical points and test for the relative extrema. Use a computer algebra system to graph the function and label the extrema.

\(g\left( x,y \right)=9-{{\left( x-3 \right)}^{2}}-{{\left( y+2 \right)}^{2}}\)